TY  - JOUR
ID  - Mirotin2021
LB  - Mirotin2021
AU  - Mirotin, Adolf
AU  - Kuzmenkova, Ekaterina
TI  - μ-Hankel operators on Hilbert spaces
ST  - μ-Hankel operators on Hilbert spaces
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2021
VL  - 41
IS  - 6
SP  - 881
EP  - 898
DO  - https://doi.org/10.7494/OpMath.2021.41.6.881
UR  - https://doi.org/10.7494/OpMath.2021.41.6.881
AB  - A class of operators is introduced (\(\mu\)-Hankel operators, \(\mu\) is a complex parameter), which generalizes the class of Hankel operators. Criteria for boundedness, compactness, nuclearity, and finite dimensionality are obtained for operators of this class, and for the case \(|\mu| = 1\) their description in the Hardy space is given. Integral representations of \(\mu\)-Hankel operators on the unit disk and on the Semi-Axis are also considered.
KW  - Hankel operator
KW  - \(\mu\)-Hankel operator
KW  - Hardy space
KW  - integral representation
KW  - nuclear operator
KW  - integral operator
SN  - 1232-9274
ER  -